Geometry · Triangles & Congruence
Circumcenter
HSG-CO.C.10
Definition
The point where a triangle's three perpendicular bisectors meet, equidistant from the vertices.
Examples
- The circumcenter is the center of the circle that passes through all three vertices.
- Distances from the circumcenter to each vertex are always equal.
Key rule
The circumcenter is equidistant from all three vertices of the triangle.
Memory hook
Where the perpendicular bisectors cross — center of the circumscribed circle.